6/5: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 254924018 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 254924332 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-09-16 19: | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-09-16 19:36:53 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>254924332</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">In [[5-limit]] [[Just Intonation]], 6/5 is the classic minor third, measuring about 315.6¢. It is sharp of the Pythagorean minor third of [[32_27|32/27]] (about 294.1¢) as well as the 300¢ minor third of [[4edo]], [[12edo]] and all other 4n-[[edo]]s. It arises in the [[harmonic series]] between the 5th and 6th overtones and appears in the 5-limit otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12,[[5_4|5/4]] falling between 12 and 15, and [[3_2|3/2]] falling between 10 and 15. | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">In [[5-limit]] [[Just Intonation]], 6/5 is the classic minor third, measuring about 315.6¢. It is sharp of the Pythagorean minor third of [[32_27|32/27]] (about 294.1¢) as well as the 300¢ minor third of [[4edo]], [[12edo]] and all other 4n-[[edo]]s. It arises in the [[OverToneSeries|harmonic series]] between the 5th and 6th overtones and appears in the 5-limit otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, [[5_4|5/4]] falling between 12 and 15, and [[3_2|3/2]] falling between 10 and 15. | ||
In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the [[7-limit]] is [[7_6|7/6]] (about 266.9¢), the septimal subminor third, which is [[36_35|36/35]] (about 48.8¢) flat of 6/5. Another in the [[13-limit]] is [[13_11|13/11]] (about 289.2¢), which is [[66_65|66/65]] (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them. | In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the [[7-limit]] is [[7_6|7/6]] (about 266.9¢), the septimal subminor third, which is [[36_35|36/35]] (about 48.8¢) flat of 6/5. Another in the [[13-limit]] is [[13_11|13/11]] (about 289.2¢), which is [[66_65|66/65]] (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them. | ||
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See: [[Gallery of Just Intervals]]</pre></div> | See: [[Gallery of Just Intervals]]</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>6_5</title></head><body>In <a class="wiki_link" href="/5-limit">5-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 6/5 is the classic minor third, measuring about 315.6¢. It is sharp of the Pythagorean minor third of <a class="wiki_link" href="/32_27">32/27</a> (about 294.1¢) as well as the 300¢ minor third of <a class="wiki_link" href="/4edo">4edo</a>, <a class="wiki_link" href="/12edo">12edo</a> and all other 4n-<a class="wiki_link" href="/edo">edo</a>s. It arises in the <a class="wiki_link" href="/ | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>6_5</title></head><body>In <a class="wiki_link" href="/5-limit">5-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 6/5 is the classic minor third, measuring about 315.6¢. It is sharp of the Pythagorean minor third of <a class="wiki_link" href="/32_27">32/27</a> (about 294.1¢) as well as the 300¢ minor third of <a class="wiki_link" href="/4edo">4edo</a>, <a class="wiki_link" href="/12edo">12edo</a> and all other 4n-<a class="wiki_link" href="/edo">edo</a>s. It arises in the <a class="wiki_link" href="/OverToneSeries">harmonic series</a> between the 5th and 6th overtones and appears in the 5-limit otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, <a class="wiki_link" href="/5_4">5/4</a> falling between 12 and 15, and <a class="wiki_link" href="/3_2">3/2</a> falling between 10 and 15.<br /> | ||
<br /> | <br /> | ||
In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the <a class="wiki_link" href="/7-limit">7-limit</a> is <a class="wiki_link" href="/7_6">7/6</a> (about 266.9¢), the septimal subminor third, which is <a class="wiki_link" href="/36_35">36/35</a> (about 48.8¢) flat of 6/5. Another in the <a class="wiki_link" href="/13-limit">13-limit</a> is <a class="wiki_link" href="/13_11">13/11</a> (about 289.2¢), which is <a class="wiki_link" href="/66_65">66/65</a> (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.<br /> | In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the <a class="wiki_link" href="/7-limit">7-limit</a> is <a class="wiki_link" href="/7_6">7/6</a> (about 266.9¢), the septimal subminor third, which is <a class="wiki_link" href="/36_35">36/35</a> (about 48.8¢) flat of 6/5. Another in the <a class="wiki_link" href="/13-limit">13-limit</a> is <a class="wiki_link" href="/13_11">13/11</a> (about 289.2¢), which is <a class="wiki_link" href="/66_65">66/65</a> (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.<br /> | ||
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See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div> | See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div> | ||